Mathematics · 2022
JEE Main · 29 July 2022, Shift 2 · Q3
If the system of equations x+y+z=6; 2 x+5 y+α z=β; x+2 y+3 z=14 has infinitely many solutions, then α+β is equal to
If the system of equations
$$\begin{aligned}
& x+y+z=6 \\
& 2 x+5 y+\alpha z=\beta \\
& x+2 y+3 z=14
\end{aligned}
$$
has infinitely many solutions, then $\displaystyle \alpha+\beta$ is equal to
Official answer
(3)
$\displaystyle 44$
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.